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(N-1)D Nets of N dimensional cubes

abunickabhi

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Jan 9, 2014
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Matt again explains geometric concepts using a 3x3.

There is always a lot of group theory and graph theory that we can associate with the cube.
I never thought about the number of nets problem, before this video, and this problem/concept was eyeopening for sure.


I want to explore a generic formula for computing number of (N-1)D Nets of N dimensional cubes. It will be a cool exercise. Comment below your inputs.

On a side note, has anyone solved a 3x3x3x3?
 

Gerry

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Apr 1, 2021
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I just watched this video too!

Wouldn't they all be the same no matter the cube? A 3x3 and a 4x4 are still both in 3 dimensions.
 

abunickabhi

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I just watched this video too!

Wouldn't they all be the same no matter the cube? A 3x3 and a 4x4 are still both in 3 dimensions.
Yeah a 3x3 or 4x4 does not matter. What matters is whether its a cube in R^3 or R^4 or so on, and can hypernets be computed in an elegant way for N-1 dim.
 
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